Multistep Hermite collocation methods for solving Volterra integral equations

DOI10.1007/s11075-011-9510-5zbMath1247.65164OpenAlexW2026610032MaRDI QIDQ415340

Somayyeh Fazeli, Gholamreza Hojjati, Sedaghat Shahmorad

Publication date: 8 May 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9510-5

zbMATH Keywords

stabilityconvergencenumerical examplesnonlinear Volterra integral equationHermite interpolationmultistep collocation methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (10)

Error estimates of piecewise Hermite collocation method for highly oscillatory Volterra integral equation with Bessel kernel ⋮ Numerical methods for solving nonlinear Volterra integro-differential equations based on Hermite–Birkhoff interpolation ⋮ A collocation boundary value method for linear Volterra integral equations ⋮ Construction of efficient general linear methods for stiff Volterra integral equations ⋮ Multistep collocation approximations to solutions of first-kind Volterra integral equations ⋮ High-order collocation methods for nonlinear delay integral equation ⋮ A Hermite collocation method for approximating a class of highly oscillatory integral equations using new Gaussian radial basis functions ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ Numerical analysis of a high order method for nonlinear delay integral equations ⋮ A numerical method for solving Volterra integral equations of the third kind by multistep collocation method

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• Collocation Methods for Volterra Integral and Related Functional Differential Equations
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